1450753306002 has 1536 divisors, whose sum is σ = 4891846901760. Its totient is φ = 309889152000.

The previous prime is 1450753305979. The next prime is 1450753306043. The reversal of 1450753306002 is 2006033570541.

1450753306002 is a `hidden beast` number, since 1 + 45 + 0 + 7 + 5 + 3 + 3 + 0 + 600 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 17478955453 + ... + 17478955535.

It is an arithmetic number, because the mean of its divisors is an integer number (3184796160).

Almost surely, 2^{1450753306002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450753306002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445923450880).

1450753306002 is an abundant number, since it is smaller than the sum of its proper divisors (3441093595758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1450753306002 is a wasteful number, since it uses less digits than its factorization.

1450753306002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 1450753306002 its reverse (2006033570541), we get a palindrome (3456786876543).

The spelling of 1450753306002 in words is "one trillion, four hundred fifty billion, seven hundred fifty-three million, three hundred six thousand, two".